Home EosFit-Pinc: A simple GUI for host-inclusion elastic thermobarometry
Article
Licensed
Unlicensed Requires Authentication

EosFit-Pinc: A simple GUI for host-inclusion elastic thermobarometry

  • Ross J. Angel EMAIL logo , Mattia L. Mazzucchelli , Matteo Alvaro and Fabrizio Nestola
Published/Copyright: September 5, 2017
Become an author with De Gruyter Brill

Abstract

Elastic geothermobarometry is a method of determining metamorphic conditions from the excess pressures exhibited by mineral inclusions trapped inside host minerals. An exact solution to the problem of combining non-linear Equations of State (EoS) with the elastic relaxation problem for elastically isotropic spherical host-inclusion systems without any approximations of linear elasticity is presented. The solution is encoded into a Windows GUI program EosFit-Pinc. The program performs host-inclusion calculations for spherical inclusions in elastically isotropic systems with full P-V-T EoS for both phases, with a wide variety of EoS types. The EoS values of any minerals can be loaded into the program for calculations. EosFit-Pinc calculates the isomeke of possible entrapment conditions from the pressure of an inclusion measured when the host is at any external pressure and temperature (including room conditions), and it can calculate final inclusion pressures from known entrapment conditions. It also calculates isomekes and isochors of the two phases.

Acknowledgments

Software development and analysis was supported by ERC starting grant 307322 to Fabrizio Nestola, and by the MIUR-SIR grant “MILE DEEp” (RBSI140351) to Matteo Alvaro. We thank Javier Gonzalez-Platas (La Laguna) for continuing collaboration and development of the CrysFML, and Frank Spear (RPI) and Kyle Ashley (Austin, Texas) for comparison calculations, detailed discussions, and helpful reviews.

References cited

Adams, H.G., Cohen, L.H., and Rosenfeld, J.L. (1975) Solid inclusion piezothermometry I: comparison dilatometry. American Mineralogist, 60, 574–583.Search in Google Scholar

Angel, R.J., Gonzalez-Platas, J., and Alvaro, M. (2014a) EosFit7c and a Fortran module (library) for equation of state calculations. Zeitschrift für Kristallographie, 229, 405–419.10.1515/zkri-2013-1711Search in Google Scholar

Angel, R.J., Mazzucchelli, M.L., Alvaro, M., Nimis, P., and Nestola, F. (2014b) Geobarometry from host-inclusion systems: the role of elastic relaxation. American Mineralogist, 99, 2146–2149.10.2138/am-2014-5047Search in Google Scholar

Angel, R.J., Alvaro, M., Nestola, F., and Mazzucchelli, M.L. (2015) Diamond thermoelastic properties and implications for determining the pressure of formation of diamond-inclusion systems. Russian Geology and Geophysics, 56, 211–220.10.1016/j.rgg.2015.01.014Search in Google Scholar

Angel, R.J., Alvaro, M., Miletich, R., and Nestola, F. (2017) A simple and generalised P-T-V EoS for continuous phase transitions, implemented in EosFit and applied to quartz. Contributions to Mineralogy and Petrology, 172, 29.10.1007/s00410-017-1349-xSearch in Google Scholar

Ashley, K.T., Caddick, M.J., Steele-MacInnis, M.J., Bodnar, R.J., and Dragovic, B. (2014) Geothermobarometric history of subduction recorded by quartz inclusions in garnet. Geochemistry, Geophysics, Geosystems, 15, 350–360.10.1002/2013GC005106Search in Google Scholar

Bower, A.F. (2010) Applied Mechanics of Solids. CRC Press, Boca Raton, Florida.Search in Google Scholar

d’Arco, P., and Wendt, A.S. (1994) Radial cracks around inclusions: a program to calculate P-T paths with respect to elastic properties of minerals. Computers and Geosciences, 20, 1275–1283.10.1016/0098-3004(94)90054-XSearch in Google Scholar

Eshelby, J.D. (1957) The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 241, 376–396.Search in Google Scholar

Gillet, P., Ingrin, J., and Chopin, C. (1984) Coesite in subducted continental crust: P-T history deduced from an elastic model. Earth and Planetary Science Letters, 70, 426–436.10.1016/0012-821X(84)90026-8Search in Google Scholar

Gonzalez-Platas, J., Alvaro, M., Nestola, F., and Angel, R.J. (2016) EosFit7-GUI: A new GUI tool for equation of state calculations, analyses, and teaching. Journal of Applied Crystallography, 49, 1377–1382.10.1107/S1600576716008050Search in Google Scholar

Goodier, J.N. (1933) Concentration of stress around spherical and cylindrical inclusions and flaws. Transactions of the American Society of Mechanical Engineers, 39–44.10.1115/1.4012173Search in Google Scholar

Guiraud, M., and Powell, R. (2006) PVT relationships and mineral equilibria in inclusions in minerals. Earth and Planetary Science Letters, 244, 683–694.10.1016/j.epsl.2006.02.021Search in Google Scholar

Holland, T.J.B., and Powell, R. (2011) An improved and extended internally consistent thermodynamic dataset for phases of petrological interest, involving a new equation of state for solids. Journal of Metamorphic Geology, 29, 333–383.10.1111/j.1525-1314.2010.00923.xSearch in Google Scholar

Howell, A., and Nasdala, L. (2008) Using strain birefringence in diamond to estimate the remnant pressure on an inclusion. Australian Journal of Earth Sciences, 55, 1175–1178.10.1080/08120090802266709Search in Google Scholar

Hutchison, M.T. (1998) Constitution of the deep transition zone and lower mantle shown by diamonds and their inclusions, 660 p. Ph.D. thesis, University of Edinburgh, Scotland.Search in Google Scholar

Kohn, M.J. (2014) “Thermoba-Raman-try”: Calibration of spectroscopic barometers and thermometers for mineral inclusions. Earth and Planetary Science Letters, 388, 187–196.10.1016/j.epsl.2013.11.054Search in Google Scholar

Mao, Z., Lin, J.-F., Liu, J., and Prakapenka, V. (2011) Thermal equation of state of lower-mantle ferropericlase across the spin crossover. Geophysical Research Letters, 38, L23308.10.1029/2011GL049915Search in Google Scholar

Milani, S., Nestola, F., Alvaro, M., Pasqual, D., Mazzucchelli, M.L., Domeneghetti, M.C., and Geiger, C. (2015) Diamond–garnet geobarometry: The role of garnet compressibility and expansivity. Lithos, 227, 140–147.10.1016/j.lithos.2015.03.017Search in Google Scholar

Rodriguez-Carvajal, J., and Gonzalez-Platas, J. (2003) Crystallographic Fortran 90 Modules Library (CrysFML): a simple toolbox for crystallographic computing programs. IUCr Computing Commission Newsletter, 1, 50–58.Search in Google Scholar

Rosenfeld, J.L., and Chase, A.B. (1961) Pressure and temperature of crystallization from elastic effects around solid inclusion minerals? American Journal of Science, 259, 519–541.10.2475/ajs.259.7.519Search in Google Scholar

van der Molen, I., and van Roermund, H.L.M. (1986) The pressure path of solid inclusions in minerals: the retention of coesite inclsuions during uplift. Lithos, 19, 317–324.10.1016/0024-4937(86)90030-7Search in Google Scholar

Zhang, Y. (1998) Mechanical and phase equilibria in inclusion–host systems. Earth and Planetary Science Letters, 157, 209–222.10.1016/S0012-821X(98)00036-3Search in Google Scholar

Received: 2017-5-15
Accepted: 2017-6-15
Published Online: 2017-9-5
Published in Print: 2017-9-26

© 2017 by Walter de Gruyter Berlin/Boston

Articles in the same Issue

  1. Highlights and Breakthroughs
  2. Looking for “missing” nitrogen in the deep Earth
  3. Actinides in Geology, Energy, and the Environment
  4. Crystal structure of richetite revisited: Crystallographic evidence for the presence of pentavalent uranium
  5. Actinides in Geology, Energy, and the Environment
  6. Mobilization and agglomeration of uraninite nanoparticles: A nano-mineralogical study of samples from the Matoush Uranium ore deposit
  7. Actinides in Geology, Energy, and the Environment
  8. Radiation damage in sulfides: Radioactive galena from burning heaps, after coal mining in the Lower Silesian basin (Czech Republic)
  9. Special Collection: Mechanisms, Rates, and Timescales of Geochemical Transport Processes in the Crust and Mantle
  10. Element mobility during regional metamorphism in crustal and subduction zone environments with a focus on the rare earth elements (REE)
  11. Special Collection: Water in Nominally Hydrous and Anhydrous Minerals
  12. Subsolidus hydrogen partitioning between nominally anhydrous minerals in garnet-bearing peridotite
  13. Special Collection: Water in Nominally Hydrous and Anhydrous Minerals
  14. OH defects in quartz as monitor for igneous, metamorphic, and sedimentary processes
  15. Quantitative electron backscatter diffraction (EBSD) data analyses using the dictionary indexing (DI) approach: Overcoming indexing difficulties on geological materials
  16. Trace element inventory of meteoritic Ca-phosphates
  17. Insights into solar nebula formation of pyrrhotite from nanoscale disequilibrium phases produced by H2S sulfidation of Fe metal
  18. Unraveling the presence of multiple plagioclase populations and identification of representative two-dimensional sections using a statistical and numerical approach
  19. Refractive indices of minerals and synthetic compounds
  20. Can we use pyroxene weathering textures to interpret aqueous alteration conditions? Yes and No
  21. Phase relations and formation of K-bearing Al-10 Å phase in the MORB+H2O system: Implications for H2O- and K-cycles in subduction zones
  22. Effect of alkalis on the reaction of clinopyroxene with Mg-carbonate at 6 GPa: Implications for partial melting of carbonated lherzolite
  23. Synthesis and crystal structure of LiNbO3-type Mg3Al2Si3O12: A possible indicator of shock conditions of meteorites
  24. Single crystal synthesis of δ-(Al,Fe)OOH
  25. Letter
  26. EosFit-Pinc: A simple GUI for host-inclusion elastic thermobarometry
  27. New Mineral Names
Downloaded on 7.9.2025 from https://www.degruyterbrill.com/document/doi/10.2138/am-2017-6190/html?srsltid=AfmBOopHTqu5pGzupv_UCI57K4oVxdsGsqzjPVnlwaJ44m3UmZdZ6oGv
Scroll to top button